Proof Methods for Modal and Intuitionistic Logics
E504788
"Proof Methods for Modal and Intuitionistic Logics" is a foundational textbook by logician Melvin Fitting that systematically develops semantic and proof-theoretic techniques for reasoning in modal and intuitionistic logic systems.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Proof Methods for Modal and Intuitionistic Logics canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5234092 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Proof Methods for Modal and Intuitionistic Logics Context triple: [Melvin Fitting, notableWork, Proof Methods for Modal and Intuitionistic Logics]
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A.
Semantical Considerations on Modal Logic
Semantical Considerations on Modal Logic is a landmark philosophical paper by Saul Kripke that helped found possible-worlds semantics and revolutionized the study of modal logic.
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B.
Logical Methods in Computer Science
Logical Methods in Computer Science is a peer-reviewed open-access journal focusing on theoretical computer science, particularly logic and its applications to computer science.
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C.
Hilbert-style deductive systems
Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
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D.
An Introduction to Non-Classical Logic
An Introduction to Non-Classical Logic is a widely used textbook by philosopher Graham Priest that systematically presents and explains a range of logics beyond classical logic, including many-valued, paraconsistent, modal, and intuitionistic systems.
-
E.
Elements of Intuitionism
Elements of Intuitionism is a foundational philosophical and logical treatise by Michael Dummett that systematically develops and defends intuitionistic logic and mathematics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Proof Methods for Modal and Intuitionistic Logics Target entity description: "Proof Methods for Modal and Intuitionistic Logics" is a foundational textbook by logician Melvin Fitting that systematically develops semantic and proof-theoretic techniques for reasoning in modal and intuitionistic logic systems.
-
A.
Semantical Considerations on Modal Logic
Semantical Considerations on Modal Logic is a landmark philosophical paper by Saul Kripke that helped found possible-worlds semantics and revolutionized the study of modal logic.
-
B.
Logical Methods in Computer Science
Logical Methods in Computer Science is a peer-reviewed open-access journal focusing on theoretical computer science, particularly logic and its applications to computer science.
-
C.
Hilbert-style deductive systems
Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
-
D.
An Introduction to Non-Classical Logic
An Introduction to Non-Classical Logic is a widely used textbook by philosopher Graham Priest that systematically presents and explains a range of logics beyond classical logic, including many-valued, paraconsistent, modal, and intuitionistic systems.
-
E.
Elements of Intuitionism
Elements of Intuitionism is a foundational philosophical and logical treatise by Michael Dummett that systematically develops and defends intuitionistic logic and mathematics.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
logic textbook ⓘ |
| aim |
to connect semantic and syntactic perspectives in logic
ⓘ
to provide a unified treatment of proof methods ⓘ |
| author | Melvin Fitting ⓘ |
| coversLogicSystem |
modal system K
ⓘ
modal system S4 ⓘ modal system S5 ⓘ modal system T ⓘ |
| emphasis |
formal derivations
ⓘ
rigorous proof techniques ⓘ |
| field |
intuitionistic logic
ⓘ
mathematical logic ⓘ modal logic ⓘ proof theory ⓘ |
| focus |
relationship between semantics and proof theory
ⓘ
systematic development of proof methods ⓘ |
| genre | academic textbook ⓘ |
| hasLanguage | English ⓘ |
| intendedAudience |
advanced undergraduates
ⓘ
graduate students ⓘ researchers in logic ⓘ |
| relatedTo | Melvin Fitting ⓘ |
| subjectArea |
non-classical logics
ⓘ
philosophical logic ⓘ theoretical computer science ⓘ |
| teachesSkill |
constructing formal proofs in intuitionistic logic
ⓘ
constructing formal proofs in modal logic ⓘ |
| topic |
Kripke semantics
ⓘ
completeness proofs ⓘ intuitionistic predicate logic ⓘ intuitionistic propositional logic ⓘ natural deduction ⓘ normal modal logics ⓘ proof-theoretic methods ⓘ semantic methods ⓘ sequent calculi ⓘ soundness proofs ⓘ tableau methods ⓘ |
| usesFramework |
Kripke frames
ⓘ
possible worlds semantics ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Proof Methods for Modal and Intuitionistic Logics Description of subject: "Proof Methods for Modal and Intuitionistic Logics" is a foundational textbook by logician Melvin Fitting that systematically develops semantic and proof-theoretic techniques for reasoning in modal and intuitionistic logic systems.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.