In logic, the monadic predicate calculus (also called monadic first-order logic) is the fragment of first-order logic in which all relation symbols[clarification...

complexity theory Monadic predicate calculus Second-order logic Courcelle, Bruno; Engelfriet, Joost (2012-01-01). Graph Structure and Monadic Second-Order...

a chemical valence Monadic, in theology, a religion or philosophy possessing a concept of a divine Monad Monadic predicate calculus, in logic Monad (disambiguation)...

In logic, a predicate is a symbol that represents a property or a relation. For instance, in the first-order formula P ( a ) {\displaystyle P(a)} , the...

sometimes called full second-order logic to distinguish it from the monadic version. Monadic second-order logic is particularly used in the context of Courcelle's...

functional predicate, or function symbol, is a logical symbol that may be applied to an object term to produce another object term. Functional predicates are...

First-order logic, also called predicate logic, predicate calculus, or quantificational logic, is a collection of formal systems used in mathematics,...

In mathematical logic, propositional logic and predicate logic, a well-formed formula, abbreviated WFF or wff, often simply formula, is a finite sequence...

particular, predicates cannot be ground terms). Roughly speaking, the Herbrand universe is the set of all ground terms. A ground predicate, ground atom...

In mathematical logic, the lambda calculus (also written as λ-calculus) is a formal system for expressing computation based on function abstraction and...

Abraham Robinson follows Quine's usage. In philosophy, the adjective monadic is sometimes used to describe a one-place relation such as 'is square-shaped'...

as x and y attached to predicate letters such as Px and xRy, having instead individual constants a, b, ..attached to predicate letters are propositional...

vocabulary of the predicate calculus, then they are predicate metavariables, whereas the rest of the predicates are just called "predicate letters". The metavariables...

Many-valued logic 3 finite ∞ Predicate First-order list Second-order Monadic Higher-order Fixed-point Free Quantifiers Predicate Monadic predicate calculus...

one-place predicate, while the expression "is father of" is a two-place predicate. First-order predicate calculus Monadic predicate calculus Flew, Antony...

3.15), thus undecidable. The monadic predicate calculus is the fragment where each formula contains only 1-ary predicates and no function symbols. Its...

primitive recursive in ψ. #C: A predicate P obtained by substituting functions χ1,..., χm for the respective variables of a predicate Q is primitive recursive...

logic and type theory, are also undecidable. The validities of monadic predicate calculus with identity are decidable, however. This system is first-order...

Orman Quine believed that a formal system that allows quantification over predicates (higher-order logic) didn't meet the requirements to be a logic, saying...

problem of multiple generality, rendered impossible the kind of subject–predicate analysis that governed Aristotle's account, although there is a renewed...

In formal theories of truth, a truth predicate is a fundamental concept based on the sentences of a formal language as interpreted logically. That is...

infinite number of ways. This is famously demonstrated through lambda calculus. A Turing machine that is able to simulate any other Turing machine is...

with the advent of new logic, remaining dominant until the advent of predicate logic in the late nineteenth century. However, even if eclipsed by newer...

to replace "not provable" with "false" in a Gödel sentence because the predicate "Q is the Gödel number of a false formula" cannot be represented as a...

\varphi (S(x))} , deduce φ ( y ) {\displaystyle \varphi (y)} , for any predicate φ . {\displaystyle \varphi .} In first-order arithmetic, the only primitive...

Many-valued logic 3 finite ∞ Predicate First-order list Second-order Monadic Higher-order Fixed-point Free Quantifiers Predicate Monadic predicate calculus...

obtained by matrix multiplication using Boolean arithmetic. An example of calculus of relations arises in erotetics, the theory of questions. In the universe...

common. The signature has a single predicate symbol, usually denoted ∈ {\displaystyle \in } , which is a predicate symbol of arity 2 (a binary relation...

Many-valued logic 3 finite ∞ Predicate First-order list Second-order Monadic Higher-order Fixed-point Free Quantifiers Predicate Monadic predicate calculus...

used in his incompleteness theorems. Roughly, this states that a truth-predicate satisfying Convention T for the sentences of a given language cannot be...