In computability theory, Rice's theorem states that all non-trivial semantic properties of programs are undecidable. A semantic property is one about the...

reducible to E, that is, can be mapped using a many-one reduction to E (see Rice's theorem for more detail). But, many of these index sets are even more complicated...

align with their intended purpose. A 2025 study demonstrates, using Rice's theorem and the Halting Problem, that determining whether an arbitrary AI model...

that would determine whether the original program halts. Rice's theorem generalizes the theorem that the halting problem is unsolvable. It states that for...

detection, and spam filtering and filter-breaking are also subject to Rice's theorem. Solomonoff, Ray, "A Preliminary Report on a General Theory of Inductive...

non-computable, aside from two trivial exceptions. This is stated in Rice's theorem: Let C {\displaystyle {\mathcal {C}}} be a class of partial computable...

compound agent theorem (probability) Rice's theorem (recursion theory, computer science) Rice–Shapiro theorem (computer science) Savitch's theorem (computational...

undefinability theorem Turing's proof Löb's paradox Roger's fixed-point theorem Rice's theorem Soto-Andrade, Jorge; J. Varela, Francisco (1984). "Self-Reference...

of Church, Gödel and Turing in the 1930s (see: Halting problem and Rice's theorem). As with many undecidable questions, one can still attempt to give...

formally undecidable for arbitrary models, due to limits imposed by Rice's Theorem and Turing’s halting problem. This suggests that there is no general...

information is in general not computable within finite time and memory (see Rice's theorem and the halting problem). Abstraction is used to allow for generalized...

Henry Gordon Rice (July 18, 1920 – April 14, 2003) was an American logician and mathematician best known as the author of Rice's theorem, which he proved...

In computability theory, the Rice–Shapiro theorem is a generalization of Rice's theorem, named after Henry Gordon Rice and Norman Shapiro. It states that...

the second sense of the term. This result was later generalized by Rice's theorem. In 1973, Saharon Shelah showed the Whitehead problem in group theory...

equation Quotient rule Ramsey's theorem Rao–Blackwell theorem Rice's theorem Rolle's theorem Splitting lemma squeeze theorem Sum rule in differentiation Sum...

mathematics, and in particular the necklace splitting problem, the Hobby–Rice theorem is a result that is useful in establishing the existence of certain solutions...

Correctness Hyperproperties Invariants Path explosion Polyvariance Rice's theorem Runtime verification Safety and liveness Undefined behavior Semantics...

variation of the proof that the halting problem is undecidable that uses Rice's Theorem. Due to security concerns regarding the Trusting Trust Attack (which...

loop Loop (computing) Machine that always halts Rice's theorem smn theorem Structured program theorem Turing tarpit Virtualization Emulation (computing)...

problem result. Another important step in computability theory was Rice's theorem, which states that for all non-trivial properties of partial functions...

his final proof. His first theorem is most relevant to the halting problem, the second is more relevant to Rice's theorem. First proof: that no "computing...

halting Turing machines with the same number of states and symbols). Rice's theorem states that for all nontrivial properties of partial functions, it is...

non-trivial properties of computer programs are essentially undecidable (see Rice's theorem). As a consequence, automatic methods for deriving information on the...

Machine", The Perl Review. Papers 2 and 3 prove, using respectively Rice's theorem and direct reduction to the halting problem, that the parsing of Perl...

KeY-Hoare is a semi-automatic verification system built on top of the KeY theorem prover. It features a Hoare calculus for a simple while language. j-Algo...

for developing drivers for Windows. Abstract interpretation Automated theorem proving Binary decision diagram Büchi automaton Computation tree logic...

Scott–Curry theorem applies equally to sets of terms in combinatory logic with weak equality. It has parallels to Rice's theorem in computability theorem, which...

was shown to be, in general, undecidable in Turing's original paper. Rice's theorem shows that any non-trivial question about the output of a Turing machine...

are most properties of interesting classes of functions decidable, by Rice's theorem, i.e. the set of counting numbers for the subcountable sets may not...

optimizations to work efficiently. By a result known as the Cook–Levin theorem, Boolean satisfiability is an NP-complete problem in general. As a result...