Recent Posts For Computer Science Theory
Soundness in Logic
Soundness ensures that a logical system's derived theorems are always true under…
Open Term in Formal Languages
An open term is an expression in a formal language with free…
Open Formula in Formal Languages
An open formula in a formal language is an expression with unbound…
Infinitary: Understanding Infinite Expressions in Logic and Computation
Explore infinitary concepts, dealing with expressions of infinite length in logic, languages,…
Gödel Sentence
A self-referential sentence in formal systems, a Gödel sentence demonstrates incompleteness theorems…
Formation Rules in Formal Languages
Formation rules define the syntax of a formal language, dictating how basic…
Diagonalization Lemma
A crucial lemma in Gödel's incompleteness theorems. It states that for any…
Church’s Theorem
Church's theorem proves the undecidability of fundamental decision problems in logic, like…
Provability Predicate
A provability predicate is a mathematical function that determines whether a statement…