Mathematical logic and theoretical computer science

Mathematical Logic in Computer Science

The article retraces major events and milestones in the mutual influences between mathematical logic and computer science since the 1950s.

Symbioses between mathematical logic and computer science

Mathematical Logic for Computer Science - 2nd Edition

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Mathematical Logic and Deduction in Computer Science Education

Mathematical logic is a discipline used in sciences and humanities with different point of view. Although in tertiary level computer science education it has a solid place, it does not hold also for secondary level education. We present a heterogeneous study both theoretical based and empirically based which points out the key role of logic in computer science, computer science education and kn...

Quantum Field Theory and Coalgebraic Logic in Theoretical Computer Science

We suggest that in the framework of the Category Theory it is possible to demonstrate the mathematical and logical dual equivalence between the category of the q-deformed Hopf Coalgebras and the category of the q-deformed Hopf Algebras in quantum field theory (QFT), interpreted as a thermal field theory. Each pair algebra-coalgebra characterizes a QFT system and its mirroring thermal bath, resp...