Questions tagged [modal-logic]

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Is first order linear temporal logic a special case of first order modal logic?

Propositional linear temporal logic is a special case of propositional modal logic. Is first order linear temporal logic likewise a special case of first order modal logic?
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What is the Kripke semantic for a linear temporal logic?

I've read that in general for a modal formula P, a world w and a Kripke frame ⟨W,R⟩ w⊨□P if and only if for every u∈W, if wRu then u⊢P In case of LTL, being a modal logic, I assumed that the worlds ...
1 vote
1 answer
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2 answers
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Euclidean Models

I am asked to prove that every Euclidean models satisfies $\diamond \diamond \diamond \varphi \to \diamond \diamond \varphi$. How can this be done? I don't see how it could even be true.
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2 answers
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Meaning of the "why not" modality from linear type theory?

In linear type theory there is a modality written ! where !T can be read as "infinite copies of ...
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2 votes
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Is it possible to define logic programming for every logic that has implication and conjunction connectives?

Is it possible to define logic programming for every logic that has implication and conjunction connectives? Does logic programming adds something new to the usual inference process. By usual ...
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How to translate lambda calculus into (first-order, modal) logic, is it possible at all?

It is possible (using formal semantics) to translate natural language sentences into lambda expressions. So, is it possible to translate those lambda expressions into some logic, e.g. into first-order ...
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4 votes
1 answer
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How to express modalities in lambda calculus - are some extensions required?

Lambda calculus can be used for encoding semantics of natural language, e.g. http://yoavartzi.com/tutorial/ contains full details about semantic parsing of natural language: converting natural ...
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2 votes
0 answers
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How to express modalities in rule bases, knowledge bases or expert systems?

Knowledge bases and expert systems are usually production rules systems and as such they lack expressive means for expressing modalities like "agent believes in statement", "agent has duty to perform ...
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How to represent software code for code generation / automatic programming? How to integrate procedural and declarative knowledge?

I am learning about deontic logics and there I can make the following inferences: If A then there is **duty to create an entity of class C**, ...
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2 votes
1 answer
119 views

Modal Logic - □ distribution over →

In the modal logic K does □ distribution over →? For example, would the following be correct? □(p → q) ≡ □p → □q
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6 votes
1 answer
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Kripke Models - evaluating the meaning of $\Box\Box p$

In Kripke models the evaluation of $x \vdash \Box p$ would be that every world reachable from $x$ satisfies $p$. But how would the truth of $\Box\Box p$ be evaluated in Kripke models?
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3 votes
1 answer
478 views

Modal logic axiom S4, transitive and reflexive frame, tableaux solver

I have a difficult problem to solve which as mentioned in the title is related to modal logic axiom S4. So, here is some background knowledge that can be useful: S4 axiom is a class of transitive and ...
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complexity of modal logic axioms

I am writing a paper in which I want to include complexity results for different modal logics and possibly add a reference to a specific paper. At the moment I have the following: K- no restrictions ...
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The use of modal logic in computer science [closed]

I have a tentative understanding of modal logic. Can anyone explain modal logic as it is used in computer science?
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