Mixing
Textbook (or similar) for finite multivalued logic
$begingroup$
There are a few sources mentioned on some questions on this site regarding multivalued logics, but usually they are to original papers, or to texts on fuzzy logic. I have access to some fuzzy logic texts, but even these aren't really "textbooks" in the usual sense, with exercises, and obviously they focus on the infinite-valued cases. Any ideas for ones with exposition aimed at a student (not grad/research student, but one who has had both formal logic and a decent abstract algebra course) and including some basic exercises?
As an example of something I'd like: The appendix to this paper has statements about "normal forms for $k$-valued logical functions" and "Rosser-Turquette", but even this Math.SE question really assumes quite a bit of background and no explicit examples (unsurprising given the audience, of course). At this related MO question a text is mentioned, but I have a feeling this might not be appropriate and don't want to waste time trying for an ILL, since as very much a non-specialist who just happens to feel fuzzy about fuzzy logic, it's hard to assess suitability from abstracts.
logic reference-request fuzzy-logic multivalued-logic
asked Jan 18 at 15:17
kcrismankcrisman
1,5501020
$endgroup$
add a comment |
$begingroup$
There are a few sources mentioned on some questions on this site regarding multivalued logics, but usually they are to original papers, or to texts on fuzzy logic. I have access to some fuzzy logic texts, but even these aren't really "textbooks" in the usual sense, with exercises, and obviously they focus on the infinite-valued cases. Any ideas for ones with exposition aimed at a student (not grad/research student, but one who has had both formal logic and a decent abstract algebra course) and including some basic exercises?
As an example of something I'd like: The appendix to this paper has statements about "normal forms for $k$-valued logical functions" and "Rosser-Turquette", but even this Math.SE question really assumes quite a bit of background and no explicit examples (unsurprising given the audience, of course). At this related MO question a text is mentioned, but I have a feeling this might not be appropriate and don't want to waste time trying for an ILL, since as very much a non-specialist who just happens to feel fuzzy about fuzzy logic, it's hard to assess suitability from abstracts.
logic reference-request fuzzy-logic multivalued-logic
asked Jan 18 at 15:17
kcrismankcrisman
1,5501020
$endgroup$
$begingroup$
And yes, I did create a new tag: my understanding is that fuzzy is not identical at all to multivalued - I want three-valued information primarily.
$endgroup$
– kcrisman
Jan 18 at 15:17
2
$begingroup$
Merrie Bergmann, An Introduction to Many-Valued and Fuzzy Logic, Oxford UP (2008)
$endgroup$
– Mauro ALLEGRANZA
Jan 18 at 15:21
2
$begingroup$
Bertram Fronhöfer, Introduction to Many-Valued Logics (2011)
$endgroup$
– Mauro ALLEGRANZA
Jan 18 at 15:23
1
$begingroup$
Both of these look promising - no time to look deeply now, but can you put those two references in an answer so I can up vote it?
$endgroup$
– kcrisman
Jan 18 at 18:11
add a comment |
$begingroup$
There are a few sources mentioned on some questions on this site regarding multivalued logics, but usually they are to original papers, or to texts on fuzzy logic. I have access to some fuzzy logic texts, but even these aren't really "textbooks" in the usual sense, with exercises, and obviously they focus on the infinite-valued cases. Any ideas for ones with exposition aimed at a student (not grad/research student, but one who has had both formal logic and a decent abstract algebra course) and including some basic exercises?
As an example of something I'd like: The appendix to this paper has statements about "normal forms for $k$-valued logical functions" and "Rosser-Turquette", but even this Math.SE question really assumes quite a bit of background and no explicit examples (unsurprising given the audience, of course). At this related MO question a text is mentioned, but I have a feeling this might not be appropriate and don't want to waste time trying for an ILL, since as very much a non-specialist who just happens to feel fuzzy about fuzzy logic, it's hard to assess suitability from abstracts.
logic reference-request fuzzy-logic multivalued-logic
asked Jan 18 at 15:17
kcrismankcrisman
1,5501020
$endgroup$
There are a few sources mentioned on some questions on this site regarding multivalued logics, but usually they are to original papers, or to texts on fuzzy logic. I have access to some fuzzy logic texts, but even these aren't really "textbooks" in the usual sense, with exercises, and obviously they focus on the infinite-valued cases. Any ideas for ones with exposition aimed at a student (not grad/research student, but one who has had both formal logic and a decent abstract algebra course) and including some basic exercises?
As an example of something I'd like: The appendix to this paper has statements about "normal forms for $k$-valued logical functions" and "Rosser-Turquette", but even this Math.SE question really assumes quite a bit of background and no explicit examples (unsurprising given the audience, of course). At this related MO question a text is mentioned, but I have a feeling this might not be appropriate and don't want to waste time trying for an ILL, since as very much a non-specialist who just happens to feel fuzzy about fuzzy logic, it's hard to assess suitability from abstracts.
logic reference-request fuzzy-logic multivalued-logic
logic reference-request fuzzy-logic multivalued-logic
asked Jan 18 at 15:17
kcrismankcrisman
1,5501020
asked Jan 18 at 15:17
kcrismankcrisman
1,5501020
asked Jan 18 at 15:17
kcrismankcrisman
1,5501020
asked Jan 18 at 15:17
kcrismankcrisman
1,5501020
asked Jan 18 at 15:17
kcrismankcrisman
1,5501020
1,5501020
$begingroup$
And yes, I did create a new tag: my understanding is that fuzzy is not identical at all to multivalued - I want three-valued information primarily.
$endgroup$
– kcrisman
Jan 18 at 15:17
2
$begingroup$
Merrie Bergmann, An Introduction to Many-Valued and Fuzzy Logic, Oxford UP (2008)
$endgroup$
– Mauro ALLEGRANZA
Jan 18 at 15:21
2
$begingroup$
Bertram Fronhöfer, Introduction to Many-Valued Logics (2011)
$endgroup$
– Mauro ALLEGRANZA
Jan 18 at 15:23
1
$begingroup$
Both of these look promising - no time to look deeply now, but can you put those two references in an answer so I can up vote it?
$endgroup$
– kcrisman
Jan 18 at 18:11
add a comment |
$begingroup$
And yes, I did create a new tag: my understanding is that fuzzy is not identical at all to multivalued - I want three-valued information primarily.
$endgroup$
– kcrisman
Jan 18 at 15:17
2
$begingroup$
Merrie Bergmann, An Introduction to Many-Valued and Fuzzy Logic, Oxford UP (2008)
$endgroup$
– Mauro ALLEGRANZA
Jan 18 at 15:21
2
$begingroup$
Bertram Fronhöfer, Introduction to Many-Valued Logics (2011)
$endgroup$
– Mauro ALLEGRANZA
Jan 18 at 15:23
1
$begingroup$
Both of these look promising - no time to look deeply now, but can you put those two references in an answer so I can up vote it?
$endgroup$
– kcrisman
Jan 18 at 18:11
$begingroup$
And yes, I did create a new tag: my understanding is that fuzzy is not identical at all to multivalued - I want three-valued information primarily.
$endgroup$
– kcrisman
Jan 18 at 15:17
$begingroup$
And yes, I did create a new tag: my understanding is that fuzzy is not identical at all to multivalued - I want three-valued information primarily.
$endgroup$
– kcrisman
Jan 18 at 15:17
2
2
$begingroup$
Merrie Bergmann, An Introduction to Many-Valued and Fuzzy Logic, Oxford UP (2008)
$endgroup$
– Mauro ALLEGRANZA
Jan 18 at 15:21
$begingroup$
Merrie Bergmann, An Introduction to Many-Valued and Fuzzy Logic, Oxford UP (2008)
$endgroup$
– Mauro ALLEGRANZA
Jan 18 at 15:21
2
2
$begingroup$
Bertram Fronhöfer, Introduction to Many-Valued Logics (2011)
$endgroup$
– Mauro ALLEGRANZA
Jan 18 at 15:23
$begingroup$
Bertram Fronhöfer, Introduction to Many-Valued Logics (2011)
$endgroup$
– Mauro ALLEGRANZA
Jan 18 at 15:23
1
1
$begingroup$
Both of these look promising - no time to look deeply now, but can you put those two references in an answer so I can up vote it?
$endgroup$
– kcrisman
Jan 18 at 18:11
$begingroup$
Both of these look promising - no time to look deeply now, but can you put those two references in an answer so I can up vote it?
$endgroup$
– kcrisman
Jan 18 at 18:11
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
You can see :
Merrie Bergmann, An Introduction to Many-Valued and Fuzzy Logic, Oxford UP (2008)
Bertram Fronhöfer, Introduction to Many-Valued Logics (2011)
Grzegorz Malinowski, Many-valued Logics, Clarendon (1993).
answered Jan 18 at 19:30
Mauro ALLEGRANZAMauro ALLEGRANZA
66.6k449115
$endgroup$
$begingroup$
The first book came in interlibrary loan yesterday, and it is exactly what I'm looking for; thank you!
$endgroup$
– kcrisman
Jan 26 at 14:59
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3078373%2ftextbook-or-similar-for-finite-multivalued-logic%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
You can see :
Merrie Bergmann, An Introduction to Many-Valued and Fuzzy Logic, Oxford UP (2008)
Bertram Fronhöfer, Introduction to Many-Valued Logics (2011)
Grzegorz Malinowski, Many-valued Logics, Clarendon (1993).
answered Jan 18 at 19:30
Mauro ALLEGRANZAMauro ALLEGRANZA
66.6k449115
$endgroup$
$begingroup$
The first book came in interlibrary loan yesterday, and it is exactly what I'm looking for; thank you!
$endgroup$
– kcrisman
Jan 26 at 14:59
add a comment |
$begingroup$
You can see :
Merrie Bergmann, An Introduction to Many-Valued and Fuzzy Logic, Oxford UP (2008)
Bertram Fronhöfer, Introduction to Many-Valued Logics (2011)
Grzegorz Malinowski, Many-valued Logics, Clarendon (1993).
answered Jan 18 at 19:30
Mauro ALLEGRANZAMauro ALLEGRANZA
66.6k449115
$endgroup$
$begingroup$
The first book came in interlibrary loan yesterday, and it is exactly what I'm looking for; thank you!
$endgroup$
– kcrisman
Jan 26 at 14:59
add a comment |
$begingroup$
You can see :
Merrie Bergmann, An Introduction to Many-Valued and Fuzzy Logic, Oxford UP (2008)
Bertram Fronhöfer, Introduction to Many-Valued Logics (2011)
Grzegorz Malinowski, Many-valued Logics, Clarendon (1993).
answered Jan 18 at 19:30
Mauro ALLEGRANZAMauro ALLEGRANZA
66.6k449115
$endgroup$
You can see :
Merrie Bergmann, An Introduction to Many-Valued and Fuzzy Logic, Oxford UP (2008)
Bertram Fronhöfer, Introduction to Many-Valued Logics (2011)
Grzegorz Malinowski, Many-valued Logics, Clarendon (1993).
answered Jan 18 at 19:30
Mauro ALLEGRANZAMauro ALLEGRANZA
66.6k449115
answered Jan 18 at 19:30
Mauro ALLEGRANZAMauro ALLEGRANZA
66.6k449115
answered Jan 18 at 19:30
Mauro ALLEGRANZAMauro ALLEGRANZA
66.6k449115
answered Jan 18 at 19:30
Mauro ALLEGRANZAMauro ALLEGRANZA
66.6k449115
66.6k449115
$begingroup$
The first book came in interlibrary loan yesterday, and it is exactly what I'm looking for; thank you!
$endgroup$
– kcrisman
Jan 26 at 14:59
add a comment |
$begingroup$
The first book came in interlibrary loan yesterday, and it is exactly what I'm looking for; thank you!
$endgroup$
– kcrisman
Jan 26 at 14:59
$begingroup$
The first book came in interlibrary loan yesterday, and it is exactly what I'm looking for; thank you!
$endgroup$
– kcrisman
Jan 26 at 14:59
$begingroup$
The first book came in interlibrary loan yesterday, and it is exactly what I'm looking for; thank you!
$endgroup$
– kcrisman
Jan 26 at 14:59
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3078373%2ftextbook-or-similar-for-finite-multivalued-logic%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
And yes, I did create a new tag: my understanding is that fuzzy is not identical at all to multivalued - I want three-valued information primarily.
$endgroup$
– kcrisman
Jan 18 at 15:17
2
$begingroup$
Merrie Bergmann, An Introduction to Many-Valued and Fuzzy Logic, Oxford UP (2008)
$endgroup$
– Mauro ALLEGRANZA
Jan 18 at 15:21
2
$begingroup$
Bertram Fronhöfer, Introduction to Many-Valued Logics (2011)
$endgroup$
– Mauro ALLEGRANZA
Jan 18 at 15:23
1
$begingroup$
Both of these look promising - no time to look deeply now, but can you put those two references in an answer so I can up vote it?
$endgroup$
– kcrisman
Jan 18 at 18:11