Computer Science - Logic in Computer ScienceWe study the model-checking problem for recursion schemes: does the treegenerated by a given higher-order recursion scheme satisfy a given logicalsentence. The problem is known to be decidable for sentences of the MSO logic.We prove decidability for ...
Recursion Recursive set Recursively enumerable set Decision problem Church–Turing thesis Computable function Primitive recursive function Collapse Non-classical logic Modal logic Alethic Axiologic Deontic Doxastic Epistemic Temporal Intuitionism Intuitionistic logic Constructive analysis Heyting arithmetic Intuitionist...
His work is of major importance in mathematical logic, recursion theory, and in theoretical computer science. 他的工作是非常重要的数学逻辑,递归理论,在理论计算机科学。 ParaCrawl Corpus Fundamental concepts in computer science that are naturally expressible in logical form. 以逻辑形式自然表达的计算...
Logicism: perhaps the boldest attempt to apply logic to mathematics, pioneered by philosopher-logicians such as Gottlob Frege and Bertrand Russell, especially the application of mathematics to logic in the form of proof theory, model theory, set theory and recursion theory. Intuitionism: the doctri...
Computer Science - Logic in Computer ScienceIn recent work, Kobayashi observed that the acceptance by an alternating tree automaton A of an infinite tree T generated by a higher-order recursion scheme G may be formulated as the typability of the recursion scheme G in an appropriate intersection ...
Other articles where recursion theory is discussed: history of logic: Theory of recursive functions and computability: In addition to proof theory and model theory, a third main area of contemporary logic is the theory of recursive functions and computa
We move up one level in the recursion and compute f/(a⋅c)=b⋅(d+e)⋅(k+l)At this stage, we note that f/(a· c) is not cube-free, and the largest cube dividing this expression evenly is b. However, b is an already selected literal implying that we have already generated...
this volume gives an overview of the latest developments in most of the major fields of logic being actively pursued today. important new developments in the applications of logic in computer science are presented. other areas examined include model theory, set theory, recursion theory, proof theory...
We move up one level in the recursion and compute f/(a⋅c)=b⋅(d+e)⋅(k+l)At this stage, we note that f/(a· c) is not cube-free, and the largest cube dividing this expression evenly is b. However, b is an already selected literal implying that we have already generated...
infinitary queriesKleene algebra with recursion, minimal proofs, normal formin infinite-valued logic, ordinal processes, persistenPetri nets, plausibility logic, program synthesis systemsquantifier hierarchies, semantics of modularization, stabllogic, term rewriting systems, termination of logiprograms, transitiv...