Computer Science Theory

Recent Posts For Computer Science Theory

Soundness in Logic

Soundness ensures that a logical system's derived theorems are always true under…

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Open Term in Formal Languages

An open term is an expression in a formal language with free…

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Open Formula in Formal Languages

An open formula in a formal language is an expression with unbound…

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Infinitary: Understanding Infinite Expressions in Logic and Computation

Explore infinitary concepts, dealing with expressions of infinite length in logic, languages,…

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Gödel Sentence

A self-referential sentence in formal systems, a Gödel sentence demonstrates incompleteness theorems…

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Formation Rules in Formal Languages

Formation rules define the syntax of a formal language, dictating how basic…

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Diagonalization Lemma

A crucial lemma in Gödel's incompleteness theorems. It states that for any…

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Church’s Theorem

Church's theorem proves the undecidability of fundamental decision problems in logic, like…

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Provability Predicate

A provability predicate is a mathematical function that determines whether a statement…

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