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Identity Substitution Position Tool

Replace exactly one indexed literal token after checking its expected value. Logical substitutability and variable capture are not inferred.

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Description

Replace just that token and report replaced when replacement differs.

Logical notation distinguishes terms, argument structure, scope, and inference rules. A string formatter or local structural check can organize a supplied expression without proving an argument or determining its truth.

Replace just that token and report replaced when replacement differs.

When to use this tool

Use Identity Substitution Position when you need one bounded logical-notation component or explicit term comparison.

How to use the tool and how it works

  1. Enter tokens, index, expectedToken, replacementToken. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read tokens, replaced. Inspect replaced before interpreting the associated values.

Require a valid token index and exact expectedToken match at that position. Replace just that token and report replaced when replacement differs.1

Input fieldMeaning and unitsAccepted input
tokensTokensRequired. Array of text; maximum UTF-16 length 8192; maximum items 256.
indexPosition under the zero-based or one-based convention stated above.Required. Safe integer; minimum 0.
expectedTokenExpected TokenRequired. Text; maximum UTF-16 length 8192.
replacementTokenReplacement TokenRequired. Text; maximum UTF-16 length 8192.
Output fieldInterpretationReturned shape
tokensTokensRequired. Array of text; maximum UTF-16 length 8192; maximum items 256.
replacedReplacedRequired. Boolean.
json
{
  "input": {
    "tokens": [
      "a",
      "=",
      "a"
    ],
    "index": 2,
    "expectedToken": "a",
    "replacementToken": "b"
  },
  "output": {
    "tokens": [
      "a",
      "=",
      "b"
    ],
    "replaced": true
  }
}

Limitations and assumptions

  • This is literal token substitution without parsing, variable binding, capture avoidance, type checking, or logical equivalence guarantees.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use a parser or proof system for the complete formal language when validity or derivability matters.

References

  1. Calculation and input contract: philosophy/identity-substitution-position — tool.io

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