In mathematical logic, monadic second-order logic (MSO) is the fragment of second-order logic where the second-order quantification is limited to quantification...

second-order logic without these restrictions is sometimes called full second-order logic to distinguish it from the monadic version. Monadic second-order...

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...

research infrastructure Existential monadic second-order logic, a fragment of second-order logic in which all second-order quantifiers must be existential...

In mathematics and logic, a higher-order logic (abbreviated HOL) is a form of logic that is distinguished from first-order logic by additional quantifiers...

building They admire only one another also cannot be interpreted in monadic second-order logic. This is because predicates such as "are shipmates", "are meeting...

theorem is the statement that every graph property definable in the monadic second-order logic of graphs can be decided in linear time on graphs of bounded treewidth...

logic of graphs using monadic second order logic, then it can be solved in linear time on graphs with bounded treewidth. Monadic second order logic is...

ω-regular languages are precisely the ones definable in a particular monadic second-order logic called S1S. Wolfgang Thomas, "Automata on infinite objects." In...

for cellular cultivation Mixed-signal oscilloscope Monadic second-order logic, in mathematical logic Michigan Southern Railroad (1989), reporting markm...

Courcelle, Bruno; Engelfriet, Joost (April 2011), Graph Structure and Monadic Second-Order Logic, a Language Theoretic Approach (PDF), Cambridge University Press...

Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories...

straightforward to express the monochromatic triangle problem in the monadic second-order logic of graphs (MSO2), by a logical formula that asserts the existence...

is a planar graph. A characterization of Trémaux trees in the monadic second-order logic of graphs allows graph properties involving orientations to be...

that a language is regular if and only if it can be defined in monadic second-order logic (MSO): for every MSO formula, we can find a finite-state automaton...

in monadic second-order logic and state machines in the form of digital circuits. Program synthesis Model checking Church, Alonzo (1962). "Logic, arithmetic...

propositional logic and monadic predicate logic, which is first-order logic restricted to unary predicate symbols and no function symbols. Other logics with no...

expression equivalence with complementation the decision problem for monadic second-order logic over trees (see S2S) the decision problem for term algebras satisfiability...

be accepted by a read-only Turing machine it can be defined in monadic second-order logic (Büchi–Elgot–Trakhtenbrot theorem) it is recognized by some finite...

(predicate logic) First-order logic First-order predicate Formation rule Free variables and bound variables Generalization (logic) Monadic predicate calculus...

first-order logic of graphs concerns sentences in which the variables and predicates concern individual vertices and edges of a graph, while monadic second-order...

mathematics, logicism is a programme comprising one or more of the theses that – for some coherent meaning of 'logic' – mathematics is an extension of logic, some...

propositional logic is included in first-order logic and higher-order logics. In this sense, propositional logic is the foundation of first-order logic and higher-order...

In logic, a three-valued logic (also trinary logic, trivalent, ternary, or trilean, sometimes abbreviated 3VL) is any of several many-valued logic systems...

Deterministic acyclic finite state automaton DFA minimization Monadic second-order logic Powerset construction Quantum finite automaton Separating words...

In logic and formal semantics, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to...

soundness of the deduction rule described in the previous section. In first-order logic, a substitution is a total mapping σ: V → T from variables to terms;...

systems extending first-order logic, such as second-order logic and type theory, are also undecidable. The validities of monadic predicate calculus with...

In logic and mathematics, contraposition, or transposition, refers to the inference of going from a conditional statement into its logically equivalent...

fragment of more expressive decidable theories, including monadic class of first-order logic (which also admits unary predicates and is, via Skolem normal...